This study investigates the thermoelastic response of a nonsimple hollow rod by strategically integrating reconstructed memory-dependent derivatives (rMDD) with Eringen’s nonlocal elasticity theory. The aim is to refine the representation of delayed and spatially distributed heat transfer in microscale materials.
A modified single-phase-lag (SPL) model is employed, incorporating rMDD operators and nonlocal elasticity. Analytical solutions are derived using Laplace transforms, with numerical inversion performed via Honig–Hirdes and trapezoidal schemes to ensure stability and accuracy. Comparative reductions to classical Fourier, Cattaneo–Vernotte, Green–Naghdi and local elasticity models validate the formulation.
The results demonstrate smoother temperature evolution, stress localization and enhanced stability across different kernel types. Graphical simulations highlight the influence of fractional parameters and nonlocal kernels on thermal and mechanical responses. The framework provides deeper insights into memory-driven and nonlocal effects in hollow geometries.
The novelty lies in the strategic integration of rMDD with nonlocal elasticity for hollow rod geometries, enabling closed-form analytical solutions. This approach advances theoretical modeling of thermoelasticity in microscale and nanoscale systems, with potential applications in semiconductor devices, aerospace structures and nanotechnology. The work fills a gap in the literature by extending memory-based thermoelastic analysis to hollow geometries.
